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Finding the Fourth Proportional to 9,777.50, 14,666.25 and 2,381.94

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Solution

The fourth proportional to 9,777.50, 14,666.25 and 2,381.94 is: 3,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.50 : 14,666.25 = 2,381.94 : x
  2. Step 2: Convert to fraction form
    9,777.50/14,666.25 = 2,381.94/x
  3. Step 3: Cross multiply
    9,777.50x = 14,666.25 × 2,381.94
  4. Step 4: Simplify right side
    9,777.50x = 34,934,127.53
  5. Step 5: Solve for x
    x = 34,934,127.53/9,777.50
  6. Step 6: Final answer
    x = 3,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.